Equilibrium interface solutions of a degenerate singular Cahn-Hilliard equation

被引：10

作者：

Witelski, TP ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

APPLIED MATHEMATICS LETTERS | 1998年 / 11卷 / 05期

基金：

美国国家科学基金会;

关键词：

Cahn-Hilliard; degenerate diffusion; polymers; equilibrium solutions; phase plane;

D O I：

10.1016/S0893-9659(98)00092-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present an analysis of the equilibrium diffusive interfaces in a model for the interaction of layers of pure polymers. The discussion focuses on the important qualitative features of the solutions of the nonlinear singular Cahn-Hilliard equation with degenerate mobility for the Flory-Huggins-de Gennes free energy model. The spatial structure of possible equilibrium phase separated solutions are found. Using phase plane analysis, we; obtain heteroclinic and homoclinic degenerate weak compact-support solutions that are relevant to finite domain boundary value problems and localized impurities in infinite layers. (C) 1998 Elsevier Science Ltd. All rights reserved.

引用

页码：127 / 133

页数：7

共 11 条

[1]

ARONSON DG, 1988, NONLINEAR DIFFUSION, V1, P35

[2] THE DYNAMICS OF NUCLEATION FOR THE CAHN-HILLIARD EQUATION [J].